Correlation asymptotics from large deviations in dynamical systems with infinite measure

@article{SébastienGouëzel2011,
abstract = {We extend a result of Doney [Probab. Theory Related Fields 107 (1997)] on renewal sequences with infinite mean to renewal sequences of operators. As a consequence, we get precise asymptotics for the transfer operator and for correlations in dynamical systems preserving an infinite measure (including intermittent maps with an arbitrarily neutral fixed point).},
author = {Sébastien Gouëzel},
journal = {Colloquium Mathematicae},
keywords = {infinite measure; transfer operator; renewal sequences of operators; large deviations},
language = {eng},
number = {2},
pages = {193-212},
title = {Correlation asymptotics from large deviations in dynamical systems with infinite measure},
url = {http://eudml.org/doc/283546},
volume = {125},
year = {2011},
}

TY - JOUR
AU - Sébastien Gouëzel
TI - Correlation asymptotics from large deviations in dynamical systems with infinite measure
JO - Colloquium Mathematicae
PY - 2011
VL - 125
IS - 2
SP - 193
EP - 212
AB - We extend a result of Doney [Probab. Theory Related Fields 107 (1997)] on renewal sequences with infinite mean to renewal sequences of operators. As a consequence, we get precise asymptotics for the transfer operator and for correlations in dynamical systems preserving an infinite measure (including intermittent maps with an arbitrarily neutral fixed point).
LA - eng
KW - infinite measure; transfer operator; renewal sequences of operators; large deviations
UR - http://eudml.org/doc/283546
ER -